Question

SOLVE THE EQUATION BY COMPLETING THE SQUARE!!!!! HELPPPPPPPPPP!!!!!!!!!!!

Answer 1

Step-by-step explanation:

Hope its help u and i love u

Answer 2

Answer:

x=5±√5, x=5-√5.

Step-by-step explanation:

Here's why:

First, keep the terms on the left-hand side and subtract 20 from both sides to get:

Original Equation: x²-10x+20=0

x²-10x+20-20=0-20

=x²-10x=-20

Next, use the property [b⋅1/2]². Notice that b is -10 in this case:

[b⋅1/2]²

=[-10⋅1/2]²

=25

Then, add the result, 25, to both sides of the equation in Step 1.

x²-10x+25=-20+25

Notice that the left side is a perfect square, so you can factor it out:

x²-10x+25=-20+25

=(x-5)²=-20+25

Combine like terms on the right-hand side:

(x-5)²=-20+25

=(x-5)²=5

Then, take the square root of both sides:

√(x-5)²=±√5

The square cancels out, which leaves you with:

x-5=±√5

Finally, isolate x by solving for the variable.

x-5=±√5

=x=5±√5

Therefore, your final answer is:

x=5±√5

When you are solving for other questions that involve completing the square, always remember to follow these steps, and you'll be good to go.

Hope this helped! :)

-Jina Wang